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Finding the Fourth Proportional to 16,758.23, 23,123.78 and 9,683.29

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Solution

The fourth proportional to 16,758.23, 23,123.78 and 9,683.29 is: 13,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,758.23 : 23,123.78 = 9,683.29 : x
  2. Step 2: Convert to fraction form
    16,758.23/23,123.78 = 9,683.29/x
  3. Step 3: Cross multiply
    16,758.23x = 23,123.78 × 9,683.29
  4. Step 4: Simplify right side
    16,758.23x = 223,914,152.02
  5. Step 5: Solve for x
    x = 223,914,152.02/16,758.23
  6. Step 6: Final answer
    x = 13,361.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.